Are these ratios equivalent? 4¢ per 21 units 11¢ per 43 units
yes or no

Ivan could work any whole number of hours greater than 9 to earn more than $63.

Let's denote the number of hours Ivan works by 'h'.

Ivan charges $8 per hour, so his earnings 'E' can be expressed as:

E = 8h - 9

We want to find the possible numbers of hours Ivan could work to earn more than $63, so we can set up the inequality:

8h - 9 > 63

Adding 9 to both sides, we get:

8h > 72

Dividing both sides by 8, we get:

h > 9

Therefore, Ivan must work more than 9 hours to earn more than $63. However, since the number of hours worked must be a positive integer, the possible numbers of hours Ivan could work are:

10, 11, 12, ...

In other words, Ivan could work any whole number of hours greater than 9 to earn more than $63.

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If a negative charge is spread uniformly over the surface of the balloon, it will contract.

A spherical balloon that is initially uncharged will expand if the positive charge is spread uniformly over its surface. This is because the positive charge creates an electrostatic force that pushes the surface of the balloon away from the center, causing it to expand.

On the other hand, if a negative charge is spread uniformly over the surface of the balloon, it will contract. This is because the negative charge creates an electrostatic force that pulls the surface of the balloon towards the center, causing it to contract.

In both cases, the magnitude of the force depends on the amount of charge added to the surface and the distance between the charged particles. However, the direction of the force is determined by the sign of the charge, with a positive charge causing the balloon to expand and a negative charge causing the balloon to contract.

Therefore, If a negative charge is spread uniformly over the surface of the balloon, it will contract.

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The population of a district in 2005 was 35,700 with a continuous annual growth rate of approximately 4%. the population in 2030 will be approximately 97,209 according to the exponential growth function.

The formula for the continuous exponential growth is given by the formula:

P = Pe^(rt)

where,P is the population in the future.

P0 is the initial population.

t is the time.

r is the continuous interest rate expressed as a decimal.

e is a constant equal to approximately 2.71828.In this problem, the initial population P0 is 35,700. The rate r is 4% or 0.04 expressed as a decimal. We want to find the population in 2030, which is 25 years after 2005.

Therefore, t = 25.We will now use the formula:

P = Pe^(rt)P = 35,700e^(0.04 × 25)P = 35,700e^(1)P = 35,700 × 2.71828P = 97,209.09.

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Answer: I got 97,042.7

Step-by-step explanation:

With a \($\$400$\) original bill, a \($1\%$\) late charge, and a subsequent\($1\%$\)increase, Jenna's total bill is now \($\$404.04$\)

The formula for calculating the total amount due after the late charge and subsequent increase is as follows:

Total = Original Bill + (Original Bill * Late Charge %) + (Original Bill * Late Charge % * 1% Increase)

In this problem, the original bill is \($\$400$,\) the late charge is \($1\%$\), and the subsequent increase is also 1%. Plugging these values into the equation, we have

\(Total = $\$400$ + ($\$400$ * $1\%$) + ($\$400$ * $1\%$ * $1\%$) = $\$400$ + $\$4$ + $\$0.04$ = $\$404.04$\)

Therefore, with a $\$400$ original bill, a $1\%$ late charge, and a subsequent $1\%$ increase, Jenna's total bill is now \($\$404.04$.\)

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Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

The value of x is 20 units and the measure of DE is 35 units.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

Given that, DE=x+15, DF=55, and EF=10.

Here, DF=DE+EF

55=x+15+10

55=x+25

x=20

So, DE=x+15=35

Therefore, the value of x is 20 units and the measure of DE is 35 units.

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Answer:

x = -8

Step-by-step explanation:

Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.

-35 = 5x + 4

Subtract 4 from both sides.

-40 = 5x

Divide both sides by 5

-8 = x

x = -8

Answer:

Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.

Step-by-step explanation:

To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.

Given:

Angle of the road = 13°

Horizontal distance = 125 meters

We can use the tangent function to calculate the elevation:

tan(angle) = opposite / adjacent

In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.

Let's denote the elevation as "e". The equation becomes:

tan(13°) = e / 125

To solve for "e", we can rearrange the equation:

e = 125 * tan(13°)

Using a calculator, we can evaluate this expression:

e ≈ 125 * tan(13°) ≈ 29.7

Answer:

Step-by-step explanation:

The area of the shaded part in figure A is 24 square units and the area of the shaded part in figure B is 27 square units.

The given figure A can be divided into two rectangles.

One rectangle has length=6 units and breadth= 2 units.

So, area of a rectangle = 6×2 =12 square units

Second rectangle has length=4 units and breadth= 3 units.

So, area of a rectangle = 4×3 =12 square units

Total area = 12+12 =24 square units

In the given figure B,

Area of a large square is side² = 6²

= 36 square units

Area of a large square is side² = 3²

= 9 square units

Area of shaded = 36-9

= 27 square units

Therefore, the area of the shaded part in figure A is 24 square units and the area of the shaded part in figure B is 27 square units.

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The width of the rectangle become 20 cm.

According to the statement

we have to find the width of the rectangle.

So, For this purpose, we know that the

Rectangle is a parallelogram all of whose angles are right angles.

According to the information:

A rectangle has a length of 21 cm and a diagonal of 29 cm.

Here we use the this formula

d² = l² + w²

So, Substitute the values

29² = 21² + w²

841 = 441 + w²

Now, solve it then

w² = 400

Solve the square root then value becomes

w = 20 cm.

The width of the rectangle become 20 cm.

So, The width of the rectangle become 20 cm.

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Answer: C=15 pieces of candy

Step-by-step explanation:

Answer:

Solve

Let's solve your inequality step-by-step.

10x−14>7x−8

Step 1: Subtract 7x from both sides.

10x−14−7x>7x−8−7x

3x−14>−8

Step 2: Add 14 to both sides.

3x−14+14>−8+14

3x>6

Step 3: Divide both sides by 3

3x/3>6/3

x>2

Step-by-step explanation:

Do your answers correctly or figure it out on paper

Answer:

crazy daisy is ai fake its gonna be a link

Step-by-step explanation:

160-110=50

50/4=12.5

The electrician charges $12.50 per hour, or $50 for 4 hours.

This is not a function for the fact that 1, 2, 3, and 4 all go to the same value.

Answer:

Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors

Answer:

The statement that is true is: The value will be less than 1 because when adding the exponents, 11 + (-14) - -3, and a number in scientific notation with a negative exponent is less than 1.

Answer:  2.5 Hours. I hope I'm not sure but I think you just divide Miles Driven by MPH

Approximate value of y when x=1 is 2 (based on the given model and parameter estimates). Therefore, the answer is option b.

To predict the value of the y variable when x=1 using the given model and parameter estimates, we substitute the values into the equation:

y = β + β ln(x) + u

Given parameter estimates:

β1 = 2

β2 = 1

Substituting x=1 into the equation:

y = 2 + 2 ln(1) + u

Since ln(1) is equal to 0, the equation simplifies to:

y = 2 + 0 + u

y = 2 + u

As we don't have information about the value of the error term u, we can't provide an exact value for y when x=1. However, we can say that the approximate value of y when x=1 is 2, based on the given model and parameter estimates. Therefore, the answer is option b.

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Answer:

Step-by-step explanation:

answer:13

The eccentricity for r=5/2+1sin theta and  the equation of the directrix of r=26. 4/4+4. 4 cos theta is 0.5 and x=6

To find the eccentricity of the polar equation r = 5/2 + 1sin(θ), we first need to convert it to rectangular form:

r = 5/2 + 1sin(θ)

r = 5/2 + 1y/r

r^2 = (5/2)r + y

x^2 + y^2 = (5/2)r + y

x^2 + y^2 = (5/2)√(x^2 + y^2) + y

x^2 - (5/2)√(x^2 + y^2) + y^2 = 0

We can see that this is the equation of a conic section, specifically an ellipse, since the signs of the x^2 and y^2 terms are the same. The standard form of an ellipse centered at the origin is:

x^2/a^2 + y^2/b^2 = 1

Comparing this to our equation, we can see that a^2 = (5/2) and b^2 = 1. The eccentricity of an ellipse is given by:

e = √(1 - b^2/a^2)

Plugging in our values, we get:

e = √(1 - 1/(5/2))

e = √(3/5)

e ≈ 0.5

Therefore, the answer is (A) 0.5.

To find the equation of the directrix for the polar equation r = 26.4/4 + 4.4cos(θ), we first need to convert it to rectangular form:

r = 26.4/4 + 4.4cos(θ)

r = 6.6 + 4.4x/r

r^2 = 6.6r + 4.4x

x = (r^2 - 6.6r)/4.4

We can see that this is the equation of a parabola, since the highest degree of the variable r is 2. The standard form of a parabola with its focus at (0, p) is:

y = (1/4p)x^2

Comparing this to our equation, we can see that p = -6.6/4 = -1.65. The directrix of a parabola is a line perpendicular to the axis of symmetry and located at a distance of |p| from the focus. Since the axis of symmetry is the x-axis, the equation of the directrix is:

y = 1.65

However, since the question asks for the equation of the directrix in terms of x, we can rewrite this as:

x = 0

Therefore, the answer is (C) x = 6.

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Six trigonometric ratios can be determined from the triangles.

Trigonometric ratios are the ratio which helps to show the relationship between perpendicular, base and hypotenuse.

sine function

Cosine function

Tangent function

cosecant function

secant function

cot function

sine function = perpendicular / hypotenuse

Cosine function = base/  hypotenuse

Tangent function = Perpendicular / base

cosecant function = hypotenuse/ perpendicular

secant function = hypotenuse/ perpendicular

cot function = base/ perpendicular

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Cutting Della's hair symbolizes her mean sacrifice and desperation to provide a Christmas gift for her husband. It is a symbol of her love and devotion to him, even in the face of poverty.

Cutting Della's hair symbolizes her selfless devotion to her husband and her willingness to make a sacrifice in order to provide a Christmas gift for him. Despite lacking the money to buy a gift, she still wanted to give him something to show her love and appreciation for him. This is why she cut off her long, beautiful hair and sold it to the hairdresser for twenty dollars in order to buy her husband a platinum watch chain. Her act of cutting her hair is a powerful symbol of her love and devotion to him, even in the face of extreme poverty. Additionally, it symbolizes her strength and resilience in the face of difficult circumstances. Her sacrifice is a reminder of how far love can go in times of hardship.

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To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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Answer:

5

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

120x0.4=48

48x3=144

120x0.7=84

84x2=168

168+144=312

Answer:

A. 16

Explanation:

If n =4

Therefore, all of the following expressions are equal to 1/16 except 16.

The correct choice is A.

Answer:

Flexibility: Stretching

Endurance: Being able to dance for periods of time